On the approaches to threshold resummation of rapidity distributions for the Drell-Yan process

Abstract

We consider threshold resummation of rapidity distributions, for which various approaches exist in the literature. Recently, a work by Lustermans, Michel, Tackmann suggested that older approaches by Becher, Neubert, Xu (BNX) and Bonvini, Forte, Ridolfi (BFR) were wrong because they miss some leading-power contributions at threshold. In this work, we prove and demonstrate that the BNX and BFR approaches are correct and able to resum threshold logarithms to leading-power accuracy. We then show that the BNX and BFR approaches can provide rather good alternatives to more modern approaches to threshold resummation of rapidity distributions, provided the threshold logarithms are resummed according to the $\psi$-soft definition introduced in the context of Higgs production.

41 pages, 10 figures. Various differences and additions wrt v1. Final EPJC version

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Cited by in corpus (5)

• Third order QCD predictions for fiducial W-boson production
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO${}^{+}$
• Higgs boson rapidity distribution in bottom annihilation at NNLL and beyond